Question

Subtract
5 y⁵-3 ³+2² -y+1 from 4y⁵-4y³-3y²+y-1​

Answer 1

$\sf \: subtract :$

$\sf5 {y}^{5} - {3}^{3} + {2}^{2} - y + 1 \: from \: {4y}^{5} - {4y}^{3} - {3y}^{2} + y - 1$

$\sf = {4y}^{5} - {4y}^{3} - {3y}^{2} + y - 1 - ( {5y}^{5} - {3}^{3} + {2}^{2} - y + 1)$

$\sf = {4y}^{5} - {4y}^{3} - {3y}^{2} + y - 1 - {5y}^{5} + {3}^{3} - {2}^{2} + y - 1$

$\sf = {4y}^{5} - {5y}^{5} - {4y}^{3} - {3y}^{2} + y + y - 1 - 1 - {3}^{3} + {2}^{2}$

$\sf = - {y}^{5} - {4y}^{3} - {3y}^{2} + 2y - 2 - {3}^{3} + {2}^{2}$